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Finding the Fourth Proportional to 6,409.60, 9,585.60 and 5,372.80

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Solution

The fourth proportional to 6,409.60, 9,585.60 and 5,372.80 is: 8,035.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.60 : 9,585.60 = 5,372.80 : x
  2. Step 2: Convert to fraction form
    6,409.60/9,585.60 = 5,372.80/x
  3. Step 3: Cross multiply
    6,409.60x = 9,585.60 × 5,372.80
  4. Step 4: Simplify right side
    6,409.60x = 51,501,511.68
  5. Step 5: Solve for x
    x = 51,501,511.68/6,409.60
  6. Step 6: Final answer
    x = 8,035.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.